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Finding the Fourth Proportional to 17,083.86, 25,626.87 and 7,221.84

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Solution

The fourth proportional to 17,083.86, 25,626.87 and 7,221.84 is: 10,833.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,083.86 : 25,626.87 = 7,221.84 : x
  2. Step 2: Convert to fraction form
    17,083.86/25,626.87 = 7,221.84/x
  3. Step 3: Cross multiply
    17,083.86x = 25,626.87 × 7,221.84
  4. Step 4: Simplify right side
    17,083.86x = 185,073,154.84
  5. Step 5: Solve for x
    x = 185,073,154.84/17,083.86
  6. Step 6: Final answer
    x = 10,833.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.